Question

Define infinite limit

Answer 1

Infinite Limits

In this section we will take a look at limits whose value is infinity or minus infinity.  These kinds of limit will show up fairly regularly in later sections and in other courses and so you’ll need to be able to deal with them when you run across them.

 

The first thing we should probably do here is to define just what we mean when we say that a limit has a value of infinity or minus infinity.

 

Definition

We say

                                                              

if we can make f(x) arbitrarily large for all x sufficiently close to x=a, from both sides, without actually letting .

 

We say

                                                            

if we can make f(x) arbitrarily large and negative for all x sufficiently close to x=a, from both sides, without actually letting .

Hope this explained a lot to you. if you still don't understand, here is a link that can help you more

http://tutorial.math.lamar.edu/Classes/CalcI/InfiniteLimits.aspx